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Nuclear Magnetic Resonance Spectra from a Crystal rotated at High Speed


HINDERED molecular rotation in solids reduces the width of their observed nuclear magnetic resonance spectra, with a consequent decrease in the measured second moments1. By contrast, on general theoretical grounds it has been shown2 that the second moments of dipolar-broadened spectra should remain invariant and should not be reduced by such motion. In a recent explanation3 of this apparent discrepancy the nuclear magnetic interaction was divided into two parts, namely, a steady mean interaction and a fluctuating part. The steady mean interaction is less than the interaction in a static crystal devoid of hindered rotation and generates an observed spectrum narrower than that of the static crystal. The fluctuating part of the interaction generates side-spectra set at integral multiples of the frequency of molecular rotation on either side of the central narrowed spectrum. Since the molecules do not rotate uniformly, but are re-oriented with an irregular motion, these side-spectra are dispersed over a band of frequencies with an intensity too weak to be observed. It was shown, however3, that when these weak side-spectra are included the second moment does indeed remain invariant even though the second moment of the central portion, which is all that is observed experimentally, becomes smaller.


  1. Gutowsky, H. S., and Pake, G. E., J. Chem. Phys., 18, 162 (1950).

    ADS  CAS  Article  Google Scholar 

  2. Pake, G. E., Solid State Phys., 2, 1 (1956).

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  3. Andrew, E. R., and Newing, R. A., Proc. Phys. Soc. (in the press).

  4. Van Vleck, J. H., Phys. Rev., 74, 1168 (1948).

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ANDREW, E., BRADBURY, A. & EADES, R. Nuclear Magnetic Resonance Spectra from a Crystal rotated at High Speed. Nature 182, 1659 (1958).

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